Navier-Stokes equations

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Describe the motion of viscous fluid substances and the forces acting on them.

Continuum mechanics: Is the study of behavior of materials that don't fail even when they're on the verge of breaking apart. It describes the behavior of fluids, solids, and gases in terms of their macroscopic properties.
Navier-Stokes equations: Navier-Stokes equations describe the motion of a fluid in the absence of gravity.
Kinematic viscosity: Kinematic viscosity basically describes the resistance of a fluid to flow. It is one of the most important physical variables in fluid mechanics.
Reynolds number: Reynolds number is a dimensionless parameter that describes the degree of turbulence in a fluid.
Eulerian and Lagrangian descriptions: Eulerian and Lagrangian descriptions are two different ways of describing the motion of a fluid.
Boundary layer theory: A boundary layer is a region in which the flow has been influenced by the presence of a solid boundary. Boundary layer theory is a mathematical description of the process.
Compressible flow: Compressible flow is the flow of gases at high speeds, where the properties of the fluid change due to the effect of the pressure waves.
Incompressible flow: Incompressible flow is the flow of fluids where the density remains constant, even though the pressure and velocity may vary.
Turbulence modeling: Turbulence modeling is a theoretical description of the behavior of turbulent effects in fluids.
Computational fluid dynamics: Computational fluid dynamics is the study of the motion of fluids using numerical methods.
Conservation laws: Conservation laws relate to the conservation of mass, momentum, and energy throughout a fluid.
Non-Newtonian fluids: Non-Newtonian fluids are fluids that don't follow the assumptions of Newton's laws.
Two-phase flow: Two-phase flow is the flow of two immiscible fluids, where the properties of one fluid can affect the motion of the other.
Heat transfer: Heat transfer is the study of heat energy transfer between fluids or between fluids and solids.
Multiphase flow: Multiphase flow is the study of the motion of fluids with multiple phases, such as solid-liquid or liquid-gas.
Inviscid flow: This type of equation describes a fluid flow without any viscosity.
Laminar flow: This type of equation defines the flow of a fluid in layers or parallel paths without any turbulent motion.
Turbulent flow: This type of equation describes the flow of a fluid with chaotic movement while propagating in space.
Axisymmetric flow: This type of equation describes the flow of a fluid in a cylindrical or rotational coordinate system.
Compressible flow: This type of equation defines fluid dynamics when it experiences compression or expansion.
Incompressible flow: This is the most common solution of studying fluid dynamics in which the density of the fluid remains constant, and its flow rate is measured.
Steady-state flow: This type of equation describes the flow of a fluid at a constant state over time.
Unsteady-state flow: This type of equation describes the flow of a fluid under varying conditions; the fluid motion changes over time.
Transitional flow: This type of equation defines the flow of a fluid with the vortex shedding or irregular transitions between laminar and turbulent flow.
Non-Newtonian fluid flow: This type of equation describes the flow of fluids that do not obey the laws of Newtonian mechanics as their viscosity is dependent on the shear rate of the fluid.